Atkin-Lehner |
2- 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
111300x |
Isogeny class |
Conductor |
111300 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-4.7611556720044E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,182042,330693713] |
[a1,a2,a3,a4,a6] |
Generators |
[-592:3975:1] |
Generators of the group modulo torsion |
j |
106747104523520/7617849075207 |
j-invariant |
L |
7.7317513263002 |
L(r)(E,1)/r! |
Ω |
0.1536453511005 |
Real period |
R |
1.3978351306623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034631 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
111300f1 |
Quadratic twists by: 5 |